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Finding the Fourth Proportional to 221,640.48, 305,859.60 and 121,039.20

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Solution

The fourth proportional to 221,640.48, 305,859.60 and 121,039.20 is: 167,031.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,640.48 : 305,859.60 = 121,039.20 : x
  2. Step 2: Convert to fraction form
    221,640.48/305,859.60 = 121,039.20/x
  3. Step 3: Cross multiply
    221,640.48x = 305,859.60 × 121,039.20
  4. Step 4: Simplify right side
    221,640.48x = 37,021,001,296.32
  5. Step 5: Solve for x
    x = 37,021,001,296.32/221,640.48
  6. Step 6: Final answer
    x = 167,031.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.